Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabola y = 4 - x and the line y= - 3x, while the top of the solid is bounded by the plane z =x+5.

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A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

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A: To determine: The convergence of ∑k=1∞ 18k-13.

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A: Given

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A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2 dxI=16...

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A: g(x)=2x2-9 on the interval [4,7]

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A: topic - differential equation

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A: we are allowed to solve only 3 subparts of a question. Here are the solution of part 

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A: we use the formula ddx(ax)=ax lna

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A: given that ∫-4x-12x+103x-43=Fx-1find F3

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A: topic - definite integral answer is 10

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Q: Ql findthe Partal derivativescfirsfand WaltxyZ Second) -W-SinczTメ+-32 Zーメーー -2-Ln(X+24+ろ) @-T-tchlx十...

A: according to our guidelines we can answer only three subparts  and rest can be reposted. 

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A: Position function iss(t)=2t2-2tThen acceleration is given  bya(t)=s''(t)

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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A: Topic = Differential equation

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Q: 12 1. Given that sine and 0 < 0 <", find sin(20) and cos(20) 13'

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Q: Solve using the U-Technique Question 11 If g(x) = f'(x) and if g(x) = (cos x – x sin x)e*cos x, then...

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A: Here we have to find the sum of series ∑n=1∞121-2n

Q: If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) ?

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Q: Determine whether the series converges. 17 19k k=1 The series converges eTextbo diverges

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Q: Given the following table of values, find h' (-1) if h(x) = (x* + p(x))". -1 1 p(x) -2 1 p'(x) 2 3 -...

A: Necessary  formula: The derivative of   xn   is   nx(n−1)